ID-based Threshold Blind Signature scheme from Bilinear Pairing

Threshold and Blindness are two important properties in cryptography system. They can provide security and privacy. In this paper, We present an efficient construction from Bilinear pairing in an ID-based cryptography system. In an ID-based (k, n) threshold blind signature scheme, Private Key Generation Center(PKGC) distributes the secret key to n group members. The user only communicates with the dealer who has collected no less than k valid sub-signatures and computes the group signature. During this process, the signer and the dealer have no information about the message(blindness). We analyze and prove the security of our scheme. To the best of the author’s knowledge, this is the first ID-based threshold blind signature scheme.

[1]  David Chaum,et al.  Blind Signatures for Untraceable Payments , 1982, CRYPTO.

[2]  Kwangjo Kim,et al.  An Efficient and Provably Secure Threshold Blind Signature , 2001, ICISC.

[3]  Jan Camenisch,et al.  Blind Signatures Based on the Discrete Logarithm Problem , 1994, EUROCRYPT.

[4]  Alexandra Boldyreva,et al.  Efficient threshold signature , multisignature and blind signature schemes based on the Gap-Diffie-Hellman-group signature scheme , 2002 .

[5]  Siu-Ming Yiu,et al.  Two Improved Partially Blind Signature Schemes from Bilinear Pairings , 2005, ACISP.

[6]  Tsz Hon Yuen,et al.  Fast and Proven Secure Blind Identity-Based Signcryption from Pairings , 2005, CT-RSA.

[7]  Adi Shamir,et al.  How to share a secret , 1979, CACM.

[8]  Jean-Jacques Quisquater,et al.  A new identity based signcryption scheme from pairings , 2003, Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674).

[9]  Duc-Liem Vo,et al.  A New Threshold Blind Signature Scheme from Pairings , 2003 .

[10]  Claus-Peter Schnorr,et al.  Security of Blind Discrete Log Signatures against Interactive Attacks , 2001, ICICS.

[11]  Jacques Stern,et al.  Provably Secure Blind Signature Schemes , 1996, ASIACRYPT.

[12]  Fuw-Yi Yang,et al.  A Provable Secure Scheme for Partially Blind Signatures , 2004, IACR Cryptol. ePrint Arch..

[13]  A. Shamm Identity-based cryptosystems and signature schemes , 1985 .

[14]  K. C. Reddy,et al.  Signcryption scheme for Identity-based Cryptosystems , 2003, IACR Cryptol. ePrint Arch..

[15]  Johan Håstad,et al.  Some optimal inapproximability results , 2001, JACM.

[16]  Chanathip Namprempre,et al.  The One-More-RSA-Inversion Problems and the Security of Chaum's Blind Signature Scheme , 2003, Journal of Cryptology.

[17]  John Malone-Lee,et al.  Identity-Based Signcryption , 2002, IACR Cryptol. ePrint Arch..